Update benchmark docs with interactive UX results

[Alek99]

Summary

• replace the older launch/static benchmark documentation with the README's 10k–100M interactive UX results
• update the live benchmark chart, timing and Python-memory tables, methodology, caveats, and reproduction links
• refresh the homepage benchmark summary and its docs assertion

Why

The README now publishes the interactive browser sweep, but the public docs still described the older launch PNG and first-render baseline. This brings the docs site back in sync with the current benchmark evidence and makes the density-versus-exact comparison explicit.

Impact

Readers now see the current end-to-end interactive results, including failure points, memory measurements, measurement contracts, and environment caveats. The benchmark remains a live XY chart in the docs site.

Validation

• pytest tests -q — 92 passed, 1 expected xfail
• Ruff check and format checks
• codespell
• repository pre-commit hooks
• production Reflex build
• sitemap, Markdown asset, and HTML route validators

Summary by CodeRabbit

• New Features

  • Added an interactive rendering performance demo covering datasets from 10,000 to 100 million points.
  • Updated documentation with live interactive benchmark results, timing comparisons, memory usage, and reproducibility guidance.
  • Documented automatic switching to a density view for larger datasets while preserving exact-point inspection when zoomed in.

• Documentation

  • Replaced launch benchmark content with interactive UX benchmark guidance and updated charts.
  • Refined navigation and call-to-action presentation in the documentation.

[coderabbitai]

Caution

Review failed

The pull request is closed.

ℹ️ Recent review info

⚙️ Run configuration

Configuration used: defaults

Review profile: CHILL

Plan: Pro Plus

Run ID: 35689041-69a3-47fa-b1e6-7f5e3374ecd4

📥 Commits

Reviewing files that changed from the base of the PR and between fc09e67 and e9c22a0.

📒 Files selected for processing (4)

• docs/app/tests/test_docs_site.py
• docs/app/xy_docs/demos/benchmark_charts.py
• docs/index.md
• docs/overview/benchmarks.md

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📝 Walkthrough

Walkthrough

Changes

The PR replaces launch-benchmark documentation and charts with a live interactive UX benchmark covering render time, memory, density mode, failure markers, and reproduction guidance.

Interactive benchmark

Layer / File(s)	Summary
Interactive render-time chart docs/app/xy_docs/demos/benchmark_charts.py	Replaces the previous benchmark demos with interactive_ux_demo(), updated series data, render-time annotations, legend styling, and exports.
Interactive benchmark methodology docs/overview/benchmarks.md	Documents the 10k–100M sweep, timing and memory tables, benchmark criteria, comparison scope, recorded evidence, and reproduction commands.
Documentation site integration docs/index.md, docs/app/tests/test_docs_site.py	Updates the Why XY narrative, embeds the interactive demo, revises density-mode wording and link formatting, and aligns the site assertion.

Estimated code review effort: 3 (Moderate) | ~25 minutes

Suggested reviewers: carlosabadia

✨ Finishing Touches

📝 Generate docstrings

• Create stacked PR
• Commit on current branch

🧪 Generate unit tests (beta)

• Create PR with unit tests
• Commit unit tests in branch agent/update-benchmark-docs

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